Exercise 9.17 on page 535, we use the information in StudentSurvey to fit a linear model to use Verbal SAT score to predict a student€™s grade point average in college. The regression equation is

(a) What GPA does the model predict for a student who gets a 500 on the Verbal SAT exam? What GPA is predicted for a student who gets a 700?
(b) Use technology and the StudentSurvey dataset to find and interpret:
i. A 95% confidence interval for the mean GPA of students who get a 500 Verbal SAT score.
ii. A 95% prediction interval for the GPA of students who get a 500 Verbal SAT score.
iii. A 95% confidence interval for the mean GPA of students who get a 700 Verbal SAT score.
iv. A 95% prediction interval for the GPA of students who get a 700 Verbal SAT score.

Exercise 9.17

A scatterplot with regression line is shown in Figure 9.7 for a regression model using Verbal SAT score, VerbalSAT, to predict grade point average in college, GPA, using the data in StudentSurvey. We also show computer output below of the regression analysis.

Figure 9.7

Transcribed Image Text:

GPA = 2.03 +0.00189 - VerbalSAT. 4.0. 3.5 3.0 2.5- 2.0 400 500 600 700 800 VerbalSAT GPA